Izvorni znanstveni članak
https://doi.org/10.21857/90836cdw6y
Bornological structures on many-valued sets
Alexander Šostak
; Department of Mathematics, University of Latvia, LV-1002 Riga, Latvia
Ingrīda Uļjane
; Department of Mathematics, University of Latvia, LV-1002 Riga, Latvia
Sažetak
We introduce an approach to the concept of bornology in the framework of many-valued mathematical structures and develop the basics of the theory of many-valued bornological spaces and initiate the study of the category of many-valued bornological spaces and appropriately defined bounded "mappings" of such spaces. A scheme for constructing many-valued bornologies with prescribed properties is worked out. In particular, this scheme allows to extend an ordinary bornology of a metric space to a many-valued bornology on it.
Ključne riječi
Bornology; quantale; many-valued mathematical structures; many-valued bornology; fuzzy set
Hrčak ID:
186435
URI
Datum izdavanja:
13.9.2017.
Posjeta: 1.097 *